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Math Help - need help simplyfying

  1. #1
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    need help simplyfying

     2x ^ {2+x}= \frac{1}{4^{x+1} }
    Last edited by hana_102; September 23rd 2008 at 07:54 AM.
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  2. #2
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    Hello,
    Quote Originally Posted by hana_102 View Post
     2x ^2+^x= \frac{1}{4^x+^1}
    Please put brackets where it is necessary. Because I don't understand your notation of ^...

    If you want to use the power, do :

    2^{power + brackets}

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  3. #3
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    Quote Originally Posted by Moo View Post
    Hello,

    Please put brackets where it is necessary. Because I don't understand your notation of ^...

    If you want to use the power, do :

    2^{power + brackets}

    I tried that but it doesn't work, which brackets should i use? what its suppose to mean is x raised to the 2+x power , and 4 raised to x+1 power. does that make sense?
    Last edited by hana_102; September 23rd 2008 at 07:53 AM.
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  4. #4
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    Hello, hana_102!

    I'm 99.99% sure there is a typo . . .


    2^{2+x}\;=\;\frac{1}{4^{x+1}}

    We have: . \left(2^{x+2}\right)\left(4^{x+1}\right) \;=\;1

    . . . . . . . \left(2^{x+2}\right)\left(2^2\right)^{x+1} \;=\;1

    . . . . . . . \left(2^{x+2}\right)\left(2^{2x+2}\right) \;=\;1

    . . . . . . . . . . . . 2^{3x+4} \;=\;1

    . . . . . . . . . . . . 2^{3x+4} \;=\;2^0

    . . . . . . . . . . . 3x + 4 \;=\;0

    . . . . . . . . . . . . . . \boxed{x \;=\;\text{-}\frac{4}{3}}

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  5. #5
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    Quote Originally Posted by Soroban View Post
    Hello, hana_102!

    I'm 99.99% sure there is a typo . . .



    We have: . \left(2^{x+2}\right)\left(4^{x+1}\right) \;=\;1

    . . . . . . . \left(2^{x+2}\right)\left(2^2\right)^{x+1} \;=\;1

    . . . . . . . \left(2^{x+2}\right)\left(2^{2x+2}\right) \;=\;1

    . . . . . . . . . . . . 2^{3x+4} \;=\;1

    . . . . . . . . . . . . 2^{3x+4} \;=\;2^0

    . . . . . . . . . . . 3x + 4 \;=\;0

    . . . . . . . . . . . . . . \boxed{x \;=\;\text{-}\frac{4}{3}}



    Hi,

    Thank you for that.

    Why are you 99.99% sure this is a typo? its the right equation.
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  6. #6
    Moo
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    Quote Originally Posted by hana_102 View Post
    Hi,

    Thank you for that.

    Why are you 99.99% sure this is a typo? its the right equation.
    It is not solvable a simple way if it is indeed 2x^{2+x}=4^{-x-1}

    Not to hurt you, it is not a high school level equation. You can only approximate the solution.
    By the way, my TI-89 gives x=0.336346176422 after a 30-second calculation.
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